A002761 Number of ways of getting a royal flush, other straight flush, 4 of a kind, full house, other flush, other straight, 3 of a kind, 2 pair, a pair or nothing in 5-card poker.

4, 36, 624, 3744, 5108, 10200, 54912, 123552, 1098240, 1302540

Offset: 1

Author

N. J. A. Sloane, Koreen M Mielke (mielkk72(AT)VAXA.CIS.UWOSH.EDU)

Keywords

• fini
• full
• nonn

References

• J. Scarne, Scarne's Complete Guide to Gambling, Simon and Schuster, 1961, p. 582.

Links

• Index entries for sequences related to poker

Crossrefs

Cf. A002806, A002847.

Formula

From Jianing Song, Apr 06 2019: (Start)

a(n) = A002806(11-n) for 1 <= n <= 10.

Sum_{i=1..10} a(i) = binomial(52,5) = A017768(5). (End)